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Simplifying 0 = 6a2 + -27ab Reorder the terms: 0 = -27ab + 6a2 Solving 0 = -27ab + 6a2 Solving for variable 'a'. Remove the zero: 27ab + -6a2 = -27ab + 6a2 + 27ab + -6a2 Reorder the terms: 27ab + -6a2 = -27ab + 27ab + 6a2 + -6a2 Combine like terms: -27ab + 27ab = 0 27ab + -6a2 = 0 + 6a2 + -6a2 27ab + -6a2 = 6a2 + -6a2 Combine like terms: 6a2 + -6a2 = 0 27ab + -6a2 = 0 Factor out the Greatest Common Factor (GCF), '3a'. 3a(9b + -2a) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(9b + -2a)' equal to zero and attempt to solve: Simplifying 9b + -2a = 0 Reorder the terms: -2a + 9b = 0 Solving -2a + 9b = 0 Move all terms containing a to the left, all other terms to the right. Add '-9b' to each side of the equation. -2a + 9b + -9b = 0 + -9b Combine like terms: 9b + -9b = 0 -2a + 0 = 0 + -9b -2a = 0 + -9b Remove the zero: -2a = -9b Divide each side by '-2'. a = 4.5b Simplifying a = 4.5bSolution
a = {0, 4.5b}
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